In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: ∬Df(x, y)dA=∫40∫(1/2)y0f(x, y)dxdy+∫64∫6−y0f(x, y)dxdy. Sketch the region D and express the double integral as an iterated integral with reversed order of integration. ∫ba∫g2(x)g1(x)f(x, y)dydx

answer: 1 and 3

step-by-step explanation:

answer: 88

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: